Littlewood-Paley theory recovers L^p integrability of the Fourier transform of E_{α,β}(e^{iπ s} |·|^γ) for 0<γ≤(d-1)/2 and broad parameter ranges, enabling estimates for nonlocal space-time problems.
Journal of Mathematical Analysis and Applications 344(2), 1005–1017 (2008)
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A Littlewood-Paley approach to the Mittag-Leffler function in the frequency space and applications to nonlocal problems
Littlewood-Paley theory recovers L^p integrability of the Fourier transform of E_{α,β}(e^{iπ s} |·|^γ) for 0<γ≤(d-1)/2 and broad parameter ranges, enabling estimates for nonlocal space-time problems.